Combination of Dependent Realizations Within the Gradual Deformation Method

Gradual deformation is a parameterization method that reduces considerably the unknown parameter space of stochastic models. This method can be used in an iterative optimization procedure for constraining stochastic simulations to data that are complex, nonanalytical functions of the simulated variables. This method is based on the fact that linear combinations of multi-Gaussian random functions remain multi-Gaussian random functions. During the past few years, we developed the gradual deformation method by combining independent realizations. This paper investigates another alternative: the combination of dependent realizations. One of our motivations for combining dependent realizations was to improve the numerical stability of the gradual deformation method. Because of limitations both in the size of simulation grids and in the precision of simulation algorithms, numerical realizations of a stochastic model are never perfectly independent. It was shown that the accumulation of very small dependence between realizations might result in significant structural drift from the initial stochastic model. From the combination of random functions whose covariance and cross-covariance are proportional to each other, we derived a new formulation of the gradual deformation method that can explicitly take into account the numerical dependence between realizations. This new formulation allows us to reduce the structural deterioration during the iterative optimization. The problem of combining dependent realizations also arises when deforming conditional realizations of a stochastic model. As opposed to the combination of independent realizations, combining conditional realizations avoids the additional conditioning step during the optimization process. However, this procedure is limited to global deformations with fixed structural parameters.     

半无限空间中圆形孔洞周围SH波的散射

建立了求解在含有圆形孔洞的弹性半空间中SH波散射与圆形孔洞附近动应力集中问题的解析方法。利用SH波散射的对称性和多极坐标的方法，构造了一个可以预先满足半空间自由表面上应力自由边界条件的圆形孔洞对SH波散射的波函数。利用这一波函数，则可将该问题转化成对一个圆形孔洞散射的求解问题。该问题的解答最终又可归结为对一组无究代数方程组的求解问题，并可利用截断有限项的方法对其进行计算，最后给出了有关圆形也洞附近动应力集中问题的算例和数值结果，并讨论了波数与圆孔至自由边界距离变化对动应力集中的影响。     

The newest observational evidence on asymmetrical deformation of the Earth

IntroductionWhat is the shape of the Earth? Does it change continuously? It is a scientific question since the ancient times and is still being observed and explored at present. In 250 BC, Greek scholar Eratosthene supposed the shape of the Earth to be spherical according to the observations to the Sun and estimated the perimeter of the Earth to be 4 000 km (King-Hele, 1976) according to the camel-walking distance. Until the 16th century, the Earth was considered to be a very symmetrical …     

Relation of the Wave-Propagation Metric Tensor to the Curvatures of the Slowness and Ray-Velocity Surfaces

The contravariant components of the wave-propagation metric tensor equal half the second-order partial derivatives of the selected eigenvalue of the Christoffel matrix with respect to the slowness-vector components. The relations of the wave-propagation metric tensor to the curvature matrix and Gaussian curvature of the slowness surface and to the curvature matrix and Gaussian curvature of the ray-velocity surface are demonstrated with the help of ray-centred coordinates.     

城市群演化的空间过程及土地利用优化配置

城市群演化包含了诸多内容 ,如人口、产业、城市类型、城市职能等 ,而空间过程是最直接、最综合的表现。     

广州城市空间形态扩展中土地供应动力机制的作用

近 10年来呈剧烈变动状态的广州城市空间形态 ,刻烙着城市有机体内外部矛盾碰撞摩擦的痕迹 ,其中包含着权力行为力在空间的冲突过程。文中拟就从人文主义方法论的角度 ,以土地供应为中介媒体 ,研究分析它的供应机制对近 10年广州城市空间形态生长的影响 ,映视土地供应背后权力行为力对城市空间形态扩展影响的一般规律 ,以引导城市空间的健康发展     

位移监测在滑坡时空运动研究中的应用

滑坡时空运动特征是滑坡地质体在内因和外因共同作用下，自一种状态向另一种状态转化的地质过程。滑坡位移监测是研究滑坡变形影响因素、动态规律及预测预报的主要途径，特别是滑坡深部位移监测，又为研究滑坡体的时空运动过程提供了重要信息。本文结合几个滑坡的深部位移监测实践，综合分析位移监测信息，研究滑坡体的时空运动特征及发展趋势，为滑坡时空运动系统研究及稳定性预测提供依据。     

Religion and technology: refiguring place, space, identity and community

This paper reviews the literature on the religion–technology nexus, drawing up a research agenda and offering preliminary empirical insights. First, I stress the need to explore the new politics of space as a consequence of technological development, emphasizing questions about the role of religion in effecting a form of religious (neo)imperialism, and uneven access to techno-religious spaces. Second, I highlight the need to examine the politics of identity and community, since cyberspace is not an isotropic surface. Third, I underscore the need to engage with questions about the poetics of religious community as social relations become mediated by technology. Finally, I focus on questions about the poetics of place, particularly the technological mediation of rituals.     

The Space That Race Makes

This essay is a revision of a paper prepared for an NSF workshop on race and geography. Participants in the workshop were asked to offer their views on the topic and our suggestions for further research. This contribution explores some aspects of the relationship and relevance of geography to the question of race in North America. It touches on three “places” that constitute the discipline: the place of research, the place of teaching, and the workplace. With respect to research, it suggests some promising lines of inquiry. Among these are studies of the relationship of scale to the politics of identity and studies of “passing” in connection with studies of geographies of experience and geographies of power.     

模糊区域拓扑关系模型

拓扑关系是地理信息系统中空间要素之间最基本也是最重要的关系之一，是进行绝大多数空间查询和分析的基础。非模糊空间要素之间的拓扑关系在一般拓扑学等理论的基础上已有相关的模型和描述，并在实践中得到广泛的应用，如何建立模糊空间要素这间的拓扑关系是建立模糊要素地理信息系统的基础。该文在模糊扑扑学的基础上提出了模糊区域的定义，建立了用于分析模糊区域之间拓扑关系的理论和模型，提出了4*4-intersection模型拓扑关系矩阵，并分析了不同拓扑关系矩阵对于非模糊区域之间、模糊区域之间建立拓扑关系的区别和联系，最后采和不同公式对模糊区域之间的关系进行了系统的描述。